What is 2x(x+4)-3x(2x-5) ?

The solution to 2x(x+4)-3x(2x-5) is -4x^2+23x

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simplify 2x(x+4)-3x(2x-5)

simplify

2 x (x + 4) - 3 x (2 x - 5)

- 4 x^{2} + 23 x

Solution steps

2 x (x + 4) - 3 x (2 x - 5)

Expand

2 x (x + 4) : 2 x^{2} + 8 x

= 2 x^{2} + 8 x - 3 x (2 x - 5)

Expand

- 3 x (2 x - 5) : - 6 x^{2} + 15 x

= 2 x^{2} + 8 x - 6 x^{2} + 15 x

Group like terms

= 2 x^{2} - 6 x^{2} + 8 x + 15 x

Add similar elements:

2 x^{2} - 6 x^{2} = - 4 x^{2}

= - 4 x^{2} + 8 x + 15 x

Add similar elements:

8 x + 15 x = 23 x

= - 4 x^{2} + 23 x

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